A Hyperbolic Obstacle Problem with an Adhesion Force

Omata, Seiro

doi:10.1007/978-3-319-66764-5_12

Seiro Omata³

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 215))

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Mathematics for Nonlinear Phenomena: Analysis and Computation: International Conference in Honor of Professor Yoshikazu Giga on his 60th Birthday

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Abstract

We will treat free boundary problems of a wave type in this section. Examples of the physical phenomena that we have in mind are a motion of a soap film attached to a water surface or a droplet motion on a planner surface. The surface acts as an obstacle and there may exist adhesion forces when the film or the droplet detach from the obstacle. We consider the case with a positive contact angle in an equilibrium state. We also calculate the moving contact angle according to a dynamical action functional.

Dedicated to Professor Yoshikazu Giga’s 60th birthday.

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Authors and Affiliations

Faculty of Mathematics and Physics, Institute of Science and Engineering, Kanazawa University Kakuma, Kanazawa, Ishikawa, 920-1192, Japan
Seiro Omata

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Seiro Omata
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Correspondence to Seiro Omata .

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Editors and Affiliations

Mathematical Institute, Tohoku University, Sendai, Miyagi, Japan
Yasunori Maekawa
Department of Mathematics, Hokkaido University, Sapporo, Hokkaido, Japan
Shuichi Jimbo

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Omata, S. (2017). A Hyperbolic Obstacle Problem with an Adhesion Force. In: Maekawa, Y., Jimbo, S. (eds) Mathematics for Nonlinear Phenomena — Analysis and Computation. MNP2015 2015. Springer Proceedings in Mathematics & Statistics, vol 215. Springer, Cham. https://doi.org/10.1007/978-3-319-66764-5_12

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DOI: https://doi.org/10.1007/978-3-319-66764-5_12
Published: 02 November 2017
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-66762-1
Online ISBN: 978-3-319-66764-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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